Question

1. assuming the following two triangles are congruent, solve for x if bc = 2x - 1 and de = x + 9.

Explanation:

Step1: Use congruent triangles property

Since the two triangles are congruent, \(BC = DE\). So, \(2x - 1=x + 9\).

Step2: Solve the equation for \(x\)

Subtract \(x\) from both sides: \(2x-x-1=x - x+ 9\), which simplifies to \(x-1 = 9\).
Then add \(1\) to both sides: \(x-1 + 1=9 + 1\).

Answer:

\(x = 10\)